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Finding the Fourth Proportional to 1,647.33, 2,471.09 and 993.66

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Solution

The fourth proportional to 1,647.33, 2,471.09 and 993.66 is: 1,490.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.33 : 2,471.09 = 993.66 : x
  2. Step 2: Convert to fraction form
    1,647.33/2,471.09 = 993.66/x
  3. Step 3: Cross multiply
    1,647.33x = 2,471.09 × 993.66
  4. Step 4: Simplify right side
    1,647.33x = 2,455,423.29
  5. Step 5: Solve for x
    x = 2,455,423.29/1,647.33
  6. Step 6: Final answer
    x = 1,490.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.